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Finding the Fourth Proportional to 9,200.76, 12,698.71 and 5,423.71

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Solution

The fourth proportional to 9,200.76, 12,698.71 and 5,423.71 is: 7,485.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,200.76 : 12,698.71 = 5,423.71 : x
  2. Step 2: Convert to fraction form
    9,200.76/12,698.71 = 5,423.71/x
  3. Step 3: Cross multiply
    9,200.76x = 12,698.71 × 5,423.71
  4. Step 4: Simplify right side
    9,200.76x = 68,874,029.80
  5. Step 5: Solve for x
    x = 68,874,029.80/9,200.76
  6. Step 6: Final answer
    x = 7,485.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.